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zbMath0939.35001MaRDI QIDQ3836478
Patrizia Donato, Doina Cioranescu
Publication date: 7 December 1999
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
partial differential equationsmultiple-scale methodmethod of oscillating test functionsperiodic homogenization of linear differential equations
Homogenization in equilibrium problems of solid mechanics (74Q05) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to partial differential equations (35-01)
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implementation for the homogenisation of one‐dimensional periodic mixed type problems, A singularly perturbed Neumann problem for the Poisson equation in a periodically perforated domain. A functional analytic approach, Elastodynamics of strongly heterogeneous periodic plates using Reissner‐Mindlin and Kirchhoff‐Love models, Plane stress analysis of magnetoelectric composite and reinforced plates: Micromechanical modeling and application to laminated structures, Plane stress analysis of magnetoelectric composite and reinforced plates: Applications to wafer‐ and rib‐reinforced plates and three‐layered honeycomb shells, On the spectral instability for weak intermediate triharmonic problems, Macroscopic wave propagation for 2D lattice with random masses, Influence of non-local diffusion in avascular tumour growth, Exploring families of energy-dissipation landscapes via tilting: three types of EDP convergence, Rate of Convergence of General Phase Field Equations in Strongly Heterogeneous Media Toward Their Homogenized Limit, Homogenization of a quasilinear problem with semilinear terms in a two-component domain, P1$$ {P}_1 $$‐nonconforming quadrilateral finite element space with periodic boundary conditions: Part II. Application to the nonconforming heterogeneous multiscale method, Homogenization of the heat equation in a noncylindrical domain with randomly oscillating boundary, A variant prescribed curvature flow on closed surfaces with negative Euler characteristic, Nonlocal homogenisation theory for curl‐div‐systems, Two-scale homogenization of a stationary mean-field game, Polarization and relaxation effects induced by two-scale homogenization, Efficient Approximation of Flow Problems With Multiple Scales in Time, An Embedded Corrector Problem for Homogenization. Part I: Theory, Finite element approximation of elliptic homogenization problems in nondivergence-form, Homogenization of nonlinear hyperbolic stochastic equation via Tartar’s method, Second gradient homogenization of multilayered composites based on the method of oscillating functions, On the asymptotic behaviour of a variable exponent power law magnetostatic problem, Unfolding method for diffusion process in a rarefied binary structure, Effective Models for Long Time Wave Propagation in Locally Periodic Media, Multiscale Modeling and Simulation of a Cahn--Larché System with Phase Separation on the Microscale, Effective properties of hierarchical fiber-reinforced composites via a three-scale asymptotic homogenization approach, Homogenization of frame lattices leading to second gradient models coupling classical strain and strain-gradient terms, Hashin–Shtrikman bounds of periodic linear elastic media with cubic symmetry, The Homogenization Method for Topology Optimization of Structures: Old and New, Homogenization of Hamilton‐Jacobi‐Bellman equations with respect to time‐space shifts in a stationary ergodic medium, Discontinuous Galerkin finite element heterogeneous multiscale method for elliptic problems with multiple scales, New porous medium Poisson-Nernst-Planck equations for strongly oscillating electric potentials, Ensemble Kalman Filter for Multiscale Inverse Problems, Homogenization and correctors of Robin problem for linear stochastic equations in periodically perforated domains, FFT-Based Solution Schemes for the Unit Cell Problem in Periodic Homogenization of Magneto-Elastic Coupling, Thermal flows in fractured porous media, High-Order Three-Scale Computational Method for Thermoelastic Behavior Analysis of Axisymmetric Composite Structures with Multiple Spatial Scales, Stokes’ System in a Domain with Oscillating Boundary: Homogenization and Error Analysis of an Interior Optimal Control Problem, High-frequency homogenization in periodic media with imperfect interfaces, MultiscaleComputations fortheMaxwell–Schrödinger System in Heterogeneous Nanostructures, A Multi-Scale DNN Algorithm for Nonlinear Elliptic Equations with Multiple Scales, Homogenization of thin piezoelectric perforated shells, Homogenization Model for Aberrant Crypt Foci, Homogenization of the boundary value for the Neumann problem, A parameter identification problem in stochastic homogenization, Asymptotic behavior of the approximate controls for parabolic equations with interfacial contact resistance, Nonlinear Variational Methods for Estimating Effective Properties of Multiscale Materials, Improved bounds for composites and rigidity of gradient fields, Unnamed Item, Heterogeneity and strong competition in ecology, Homogenization of unbounded functionals and nonlinear elastomers. The case of the fixed constraints set, DIV–CURL TYPE THEOREM, H-CONVERGENCE AND STOKES FORMULA IN THE HEISENBERG GROUP, ANALYSIS OF A HETEROGENEOUS MULTISCALE FEM FOR PROBLEMS IN ELASTICITY, Numerical Method for Multi-Alleles Genetic Drift Problem, Homogenization of Lévy-type Operators with Oscillating Coefficients, Unnamed Item, Homogenization and correctors for linear stochastic equations via the periodic unfolding methods, Homogenization of a second order plate model, A Variational Technique to the Homogenization of Maxwell Equations, Pollutant Dispersion Modeling via Mathematical Homogenization and Integral Transform-Based Multilayer Methods, Asymptotic spectral analysis in semiconductor nanowire heterostructures, High-Order Multiscale Finite Element Method for Elliptic Problems, Global Regularity and Multiscale Approach for Thermal Radiation Heat Transfer, Approximation of Polyatomic FPU Lattices by KdV Equations, Finite Element Heterogeneous Multiscale Method for the Wave Equation: Long-Time Effects, Multiscale Analysis and Computation for a Stationary Schrödinger--Poisson System in Heterogeneous Nanostructures, A Tartar approach to periodic homogenization of linear hyperbolic stochastic partial differential equation, Multiscale Approach for Optimal Design in Conductivity of Composite Materials, Almost periodic homogenization of the Klein-Gordon type equation, Homogenization of a three-phase composites of double-porosity type, Homogenization of an Eigenvalue Problem in a Two-Component Domain with Interfacial Jump, Error estimates for pressure-driven Hele-Shaw flow, Reduced Basis Multiscale Finite Element Methods for Elliptic Problems, A Control Variate Approach Based on a Defect-Type Theory for Variance Reduction in Stochastic Homogenization, Mean-field equations for weakly nonlinear two-scale perturbations of forced hydromagnetic convection in a rotating layer, $H$-Convergence Result for Nonlocal Elliptic-Type Problems via Tartar's Method
